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A method of a consistent consideration of the phonon contributions to massand gap operators in non-magic nuclei is developed in the so-called g^2approximation, where g is the low-lying phonon creation amplitude. It includessimultaneous accounting for both the usual non-local terms and the phonontadpole ones. The relations which allow the tadpoles to be calculated withoutany new parameters are derived. As an application of the results, the role ofthe phonon tadpoles in the single-particle strength distribution and in thesingle-particle energies and gap values has been considered. Relation to theproblem of the surface nature of pairing is discussed.

Interaction of the single-particle and collective degrees of freedom in non-magic nuclei: the role of phonon tadpole terms